【摘要】：為了提出一種簡(jiǎn)單快速求解有效抽采半徑的方法,基于周世寧院士提出的瓦斯徑向非穩(wěn)定滲流方程,采用自模擬方法求出近似解析解,即徑向流場(chǎng)瓦斯壓力分布表達(dá)式,以此進(jìn)一步建立有效抽采半徑的數(shù)學(xué)表達(dá)式,研究表明:在無(wú)限流場(chǎng)條件下,有效抽采半徑與抽采時(shí)間的平方根成正比,與抽采負(fù)壓滿足非線性的正相關(guān)關(guān)系;但不同抽采負(fù)壓條件下,鉆孔周圍瓦斯壓力分布規(guī)律差異較小,因此,可以采用簡(jiǎn)化的瓦斯壓力表達(dá)式來(lái)近似反映徑向流場(chǎng)的瓦斯壓力分布規(guī)律。該近似解及有效抽采半徑的表達(dá)式可以用來(lái)確定煤層瓦斯抽采的相關(guān)參數(shù),通過(guò)相關(guān)實(shí)例驗(yàn)證了有效抽采半徑表達(dá)式的準(zhǔn)確性。
[Abstract]:In order to put forward a simple and fast method for calculating the effective extraction radius, based on the gas radial unsteady seepage equation proposed by Academician Zhou Shining, the approximate analytical solution, i.e. the expression of gas pressure distribution in radial flow field, is obtained by self-simulation method, and the mathematical expression of the effective extraction radius is further established. The results show that the effective extraction radius is in infinite flow. Under field conditions, the effective extraction radius is directly proportional to the square root of extraction time, and has a nonlinear positive correlation with negative pressure. However, under different negative pressure conditions, the gas pressure distribution around the borehole is less different, so a simplified gas pressure gauge expression can be used to approximate the gas pressure distribution rule reflecting radial flow field. The approximate solution and the expression of effective extraction radius can be used to determine the relevant parameters of coal seam gas extraction, and the accuracy of the expression of effective extraction radius is verified by relevant examples.
【作者單位】： 煤炭科學(xué)研究總院;煤炭科學(xué)技術(shù)研究院有限公司安全分院;
【基金】：國(guó)家科技重大專項(xiàng)資助項(xiàng)目(2011ZX05061)
【分類號(hào)】：TD712.6
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本文編號(hào)：2221452